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Finding the Fourth Proportional to 8,947.21, 13,412.47 and 8,209.09

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Solution

The fourth proportional to 8,947.21, 13,412.47 and 8,209.09 is: 12,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.21 : 13,412.47 = 8,209.09 : x
  2. Step 2: Convert to fraction form
    8,947.21/13,412.47 = 8,209.09/x
  3. Step 3: Cross multiply
    8,947.21x = 13,412.47 × 8,209.09
  4. Step 4: Simplify right side
    8,947.21x = 110,104,173.35
  5. Step 5: Solve for x
    x = 110,104,173.35/8,947.21
  6. Step 6: Final answer
    x = 12,305.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.